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360 (number)

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360 (number)

359 360 361
Cardinal three hundred sixty
Ordinal 360th
(three hundred and sixtieth)
Factorization 23× 32× 5
Divisors 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Roman numeral CCCLX
Binary 1011010002
Ternary 1111003
Quaternary 112204
Quinary 24205
Senary 14006
Octal 5508
Duodecimal 26012
Hexadecimal 16816
Vigesimal I020
Base 36 A036

360 (three hundred and sixty) or three sixty is the natural number following 359 and preceding 361.

In mathematics

  • 360 is the smallest number divisible by every natural number from 1 to 10 except 7.
  • One of 360's divisors is 72, which is the number of primes below it.
  • A circle is divided into 360 degrees for the purpose of angular measurement. 360° = 2 π rad is also called a round angle. This choice of unit allows round angle to be divided into equal sectors measured in integer degrees rather than fractional degrees. Many angles commonly appearing in planimetrics have integer number of degrees.

In other fields

References

  • Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (p. 152). London: Penguin Group.
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